Example of MCMC posterior distribution for each of the parameters inverted for when applying the numerical model to the olivine centrifuge experiments using eq. (16) to express the effective matrix viscosity used in the numerical model. The MCMC scheme shown here is one that treats \(\phi_{m}\) and \(\xi_{\text{ref}}\) as a material parameters. A) Histogram showing sampling frequency of \(\phi_{m}\). B) Contour plots showing sampling frequency between distributions of each parameter inverted for. C) Histogram showing sampling frequency of \(\xi_{\text{ref}}\).